PHYSICS PROGRAMMERS: Quantum tunnelling

Quantum tunnelling: I will make a video soon about how to make such a video and solve the time-dependent Schrodinger equation.

[david_porthouse]

Your Schroedinger equation is missing the rest mass term, so the wavelets are travelling in the wrong direction relative to the envelope of the wave packet. Of course, if you put in the rest mass term then you have a horribly stiff differential equation prima facie. This can be dealt with by integrating the rest mass term alone before applying the usual predictor/corrector method. The rest mass term can be integrated at once without the need for recursion.

[mstanner]

You probably used implicit euler for timestepping, since your simulation looks like it exhibits numerical diffusion (amplitude decreases and wave spreads out due to numerical imprecisions).

[starpawsy]

Looking forward to coding this, and doing some variations.

[xaracen]

particle builds speed for too long to phase through solid matter

[pilotharibo]

What am i looking at? Looks very interesting tho